How do I linearize a square root graph?

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Homework Help Overview

The discussion revolves around linearizing a square root graph based on provided data points for x and y values. Participants are exploring methods to derive both the original and linear equations associated with the square root relationship.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • One participant notes the relationship of y to the square root of x and suggests plotting y squared against x. Others echo this suggestion, indicating a shared line of reasoning. Another participant proposes using logarithmic scales for both variables to achieve a linear representation.

Discussion Status

The discussion is active with multiple approaches being considered. Participants are sharing insights on how to visualize the data to facilitate linearization, but there is no explicit consensus on a single method yet.

Contextual Notes

Participants are working within the constraints of homework guidelines, focusing on the interpretation of the data without providing complete solutions.

Varad
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Homework Statement


These are the Points.
X values: 0, 1.98, 3.96, 5.94, 7.92, 9.9
Y values: 1.98, 7.13, 9.08, 11.04, 12.57, 14.51
I need to find the original equation and the linear equation. I can't seem to find the line for square root graphs.

2. The attempt at a solution

I know it's a square root graph, but that's about it.
 
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You know or suspect that ##y\propto\sqrt{x}##?
Then plot ##y^2## vs ##x##.
 
Simon Bridge said:
You know or suspect that ##y\propto\sqrt{x}##?
Then plot ##y^2## vs ##x##.
Thanks
 
Another way of getting a straight line is to plot the data using log scales for both variables.

Chet
 

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